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46560226212 = 223217149350957
BaseRepresentation
bin101011010111001101…
…001010101110100100
311110011212021120001200
4223113031022232210
51230323404214322
633220043122500
73235543251513
oct532715125644
9143155246050
1046560226212
11188230410a5
129034b13430
13451022c316
14237996c67a
1513278d28ac
hexad734aba4

46560226212 has 72 divisors (see below), whose sum is σ = 124702990776. Its totient is φ = 14597059584.

The previous prime is 46560226103. The next prime is 46560226213. The reversal of 46560226212 is 21262206564.

46560226212 is a `hidden beast` number, since 4 + 6 + 5 + 6 + 0 + 22 + 621 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30294794916 + 16265431296 = 174054^2 + 127536^2 .

It is a super-2 number, since 2×465602262122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46560226213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888238 + ... + 939194.

It is an arithmetic number, because the mean of its divisors is an integer number (1731985983).

Almost surely, 246560226212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46560226212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62351495388).

46560226212 is an abundant number, since it is smaller than the sum of its proper divisors (78142764564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46560226212 is a wasteful number, since it uses less digits than its factorization.

46560226212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52477 (or 52472 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 46560226212 in words is "forty-six billion, five hundred sixty million, two hundred twenty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1493 2986 4479 5972 8958 13437 17916 25381 26874 50762 50957 53748 76143 101524 101914 152286 152871 203828 228429 304572 305742 456858 458613 611484 866269 913716 917226 1732538 1834452 2598807 3465076 5197614 7796421 10395228 15592842 31185684 76078801 152157602 228236403 304315204 456472806 684709209 912945612 1293339617 1369418418 2586679234 2738836836 3880018851 5173358468 7760037702 11640056553 15520075404 23280113106 46560226212